Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874h |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-4603582310796 = -1 · 22 · 39 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 1 -3 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10462,-429008] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3980:1] |
Generators of the group modulo torsion |
j |
-1076575468249/39129804 |
j-invariant |
L |
3.3087625417629 |
L(r)(E,1)/r! |
Ω |
0.23552360225351 |
Real period |
R |
3.512134781933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62622bz1 2982c1 |
Quadratic twists by: -3 -7 |